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The change in a Fisher index from one period to the next is the geometric mean of the changes in Laspeyres' and Paasche's indices between those periods, and these are chained together to make comparisons over many periods: = This is also called Fisher's "ideal" price index.
Hence, one may think of the Paasche index as one where the numeraire is the bundle of goods using current year prices and current year quantities. Similarly, the Laspeyres index can be thought of as a price index taking the bundle of goods using current prices and base period quantities as the numeraire.
Ernst Louis Étienne Laspeyres (German: [lasˈpaɪrəs]; 28 November 1834 – 4 August 1913) was a German economist. He was Professor ordinarius of economics and statistics or State Sciences and cameralistics (public finance and administration) in Basel , Riga , Dorpat (now Tartu), Karlsruhe , and finally for 26 years in Gießen .
Hermann Paasche (German pronunciation:; February 24, 1851 – April 11, 1925) was a German statistician and economist. He is known for his Paasche Index, which provides a calculation of the Price Index. Paasche studied economics, agriculture, statistics and philosophy at University of Halle.
A price deflator of 50 means that the current-year price is half the base year price - price deflation. This can lead to a situation where official statistics reflect a drop in real prices, even though they nominally have stayed the same. Unlike some price indices (like the CPI), the GDP deflator is not based on a fixed basket of goods and ...
Since upper and lower bounds of the true cost of living index can be found, respectively, through the Laspeyres and Paasche indices, the geometric average of the two, known as the Fisher price index, is a close approximation of the true cost of living index if the upper and lower bounds are not too far apart. [6]
The trade-weighted FAO Food Price Index is technically a price index and is calculated using the Laspeyres formula. It documents the development of world market prices of 24 agricultural commodities and foodstuffs in U.S. dollars. Foodstuffs have been grouped by the Food and Agriculture Organization (FAO) of the United Nations into five ...
When inflation is measured with a price index different formulas produce different results because of the base effect. E.g. Paasche versus Laspeyres price indices. Because of the problems, in particular with headline inflation, that arise from volatility in prices core inflation is used as an additional indicator of the development of inflation ...